On the multilevel internal structure of the asymptotic distribution of resonances
DOI10.1016/j.jde.2019.06.020zbMath1423.35029arXiv1807.02889OpenAlexW2961136566WikidataQ127590895 ScholiaQ127590895MaRDI QIDQ2323826
Illya M. Karabash, Sergio A. Albeverio
Publication date: 12 September 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.02889
exponential polynomialdelta-interactionscattering polecounting function of narrow resonancesdensity of resonancestopological resonance
Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Modal analysis in linear vibration theory (70J10) Resonance in context of PDEs (35B34) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80) Quantum dots, waveguides, ratchets, etc. (81Q37)
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